I'm not sure where you got the impression that chai was a no-go... are you thinking of the caffeine? True chai, made with tea, would have less caffeine than coffee, but if you've avoided all caffeine so far I guess it could make you a little jumpy.
Here's the ingredient list for the DD vanilla chai:
INGREDIENTS: Skim Milk, Vanilla Chai Powder {Sugar, Creamer [Hydrogenated Coconut Oil, Corn Syrup Solids, Potassium Caseinate (a milk derivative), Sugar, Dipotassium Phosphate, Sodium Silicoaluminate, Propylene Glycol Monstearate, Mono and Diglycerides, Salt, Carrageenan, Soy Lecithin, Artificial Flavor], Brown Sugar, Sweet Cream Powder [Pasteurized Sweet Cream, Skim Milk Solids, Sodium Caseinate (a milk derivative), Soy Lecithin], Instant Tea, Natural and Artificial Flavor, Honey Powder, Cinnamon, Xanthan Gum, Cloves}.
Lots of stuff in there. Instant tea is waaaay down on the list, so if you're worried about caffeine, it's probably minimal. If you're craving it, I don't see the harm in indulging once in a while.